Kolloquium

CV

Research

My research interests are centred around
asymptotic group theory, in particular arithmetic and analytic
properties of zeta functions associated to infinite groups and
rings. These are Dirichlet generating functions encoding arithmetic
data about groups and rings, such as the numbers of finite index
subobjects or finite-dimensional irreducible representations. The
study of these zeta functions may be seen as a non-commutative
analogue to the theory of the Dedekind zeta function of a number
field, enumerating finite index ideals in the number field's ring of
integers. This young subject area lies on the crossroads of infinite
group and ring theory, algebraic geometry and combinatorics. I have
written "A newcomer's guide to zeta functions of groups and rings",
see here.